College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Use the graph to answer the question.

**Understanding Velocity-Time Graphs**

This educational section aims to explain how to interpret a velocity-time graph and apply this knowledge to determine changes in physical quantities.

### Graph Explanation

The provided graph is a velocity-time graph showcasing three different lines labeled A, B, and C. The x-axis represents time, and the y-axis represents velocity. Each line indicates the behavior of an object’s velocity over time.

- **Line A:** This line is horizontal, indicating a constant velocity over time.
- **Line B:** This line has a positive slope, indicating that the object's velocity is increasing over time.
- **Line C:** This line has a negative slope, indicating that the object's velocity is decreasing over time.

### Question and Analysis
**Question:**
Which quantity or quantities is/are increasing for the object represented by Line B?
- a. velocity and acceleration
- b. velocity and position
- c. velocity only
- d. velocity, position, and acceleration

**Answer:**
Option **c. velocity only** is correct, as marked with a red box around it.

### Explanation:

- **Velocity:** Line B shows an upward slope, which indicates that the velocity of the object is increasing over time.
- **Acceleration:** Since this line represents a uniform increase in velocity, the object has a constant acceleration. However, the question focuses on which quantities are increasing, and constant acceleration implies it is not increasing, just steady.
- **Position:** Position changes with velocity, but the graph does not provide direct information about the position itself.

Therefore, "velocity only" is the correct answer since the line indicates an increasing velocity over time without providing information sufficient to conclude the increase in other quantities like acceleration or position comprehensively.
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Transcribed Image Text:**Understanding Velocity-Time Graphs** This educational section aims to explain how to interpret a velocity-time graph and apply this knowledge to determine changes in physical quantities. ### Graph Explanation The provided graph is a velocity-time graph showcasing three different lines labeled A, B, and C. The x-axis represents time, and the y-axis represents velocity. Each line indicates the behavior of an object’s velocity over time. - **Line A:** This line is horizontal, indicating a constant velocity over time. - **Line B:** This line has a positive slope, indicating that the object's velocity is increasing over time. - **Line C:** This line has a negative slope, indicating that the object's velocity is decreasing over time. ### Question and Analysis **Question:** Which quantity or quantities is/are increasing for the object represented by Line B? - a. velocity and acceleration - b. velocity and position - c. velocity only - d. velocity, position, and acceleration **Answer:** Option **c. velocity only** is correct, as marked with a red box around it. ### Explanation: - **Velocity:** Line B shows an upward slope, which indicates that the velocity of the object is increasing over time. - **Acceleration:** Since this line represents a uniform increase in velocity, the object has a constant acceleration. However, the question focuses on which quantities are increasing, and constant acceleration implies it is not increasing, just steady. - **Position:** Position changes with velocity, but the graph does not provide direct information about the position itself. Therefore, "velocity only" is the correct answer since the line indicates an increasing velocity over time without providing information sufficient to conclude the increase in other quantities like acceleration or position comprehensively.
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